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Pregled bibliografske jedinice broj: 966424

On the comparison of two different one-parametric generalizations of the logarithmic mean


Rodić, Mirna
On the comparison of two different one-parametric generalizations of the logarithmic mean // Abstract Booklet of MICOPAM 2018 / Simsek, Yilmaz (ur.).
Antalya - Turkey, 2018. str. 60-60 (pozvano predavanje, recenziran, sažetak, znanstveni)


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Naslov
On the comparison of two different one-parametric generalizations of the logarithmic mean

Autori
Rodić, Mirna

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Abstract Booklet of MICOPAM 2018 / Simsek, Yilmaz - Antalya - Turkey, 2018, 60-60

Skup
The Mediterranean International Conference of Pure&Applied Mathematics and related areas

Mjesto i datum
Antalya, Turska, 26–29.10.2018

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Recenziran

Ključne riječi
logarithmic mean ; extended logarithmic mean ; generalized logarithmic mean ; power mean

Sažetak
There exist several generalizations of the well-known logarithmic mean. R. Cisbani, L. Galvani and E. L. Dod independently defined the extended logarithmic mean L_r. For certain r, this mean becomes the arithmetic mean, geometric mean, logarithmic mean and identric mean, but there is no such r for which it becomes harmonic mean. On the other hand, H. Alzer defined another one-parametric generalization - the generalized logarithmic mean F_r. For certain r, this mean becomes the arithmetic mean, geometric mean, harmonic mean and logarithmic mean, but there is no such r for which it becomes identric mean. In this talk, it is explained weather these two one-parametric generalizations of the logarithmic mean are comparable, and how. Their comparison with the power means is also given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mirna Rodić (autor)


Citiraj ovu publikaciju:

Rodić, Mirna
On the comparison of two different one-parametric generalizations of the logarithmic mean // Abstract Booklet of MICOPAM 2018 / Simsek, Yilmaz (ur.).
Antalya - Turkey, 2018. str. 60-60 (pozvano predavanje, recenziran, sažetak, znanstveni)
Rodić, M. (2018) On the comparison of two different one-parametric generalizations of the logarithmic mean. U: Simsek, Y. (ur.)Abstract Booklet of MICOPAM 2018.
@article{article, author = {Rodi\'{c}, M.}, editor = {Simsek, Y.}, year = {2018}, pages = {60-60}, keywords = {logarithmic mean, extended logarithmic mean, generalized logarithmic mean, power mean}, title = {On the comparison of two different one-parametric generalizations of the logarithmic mean}, keyword = {logarithmic mean, extended logarithmic mean, generalized logarithmic mean, power mean}, publisherplace = {Antalya, Turska} }
@article{article, author = {Rodi\'{c}, M.}, editor = {Simsek, Y.}, year = {2018}, pages = {60-60}, keywords = {logarithmic mean, extended logarithmic mean, generalized logarithmic mean, power mean}, title = {On the comparison of two different one-parametric generalizations of the logarithmic mean}, keyword = {logarithmic mean, extended logarithmic mean, generalized logarithmic mean, power mean}, publisherplace = {Antalya, Turska} }




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